Remarks on the eigenvalues of the Manakov system

被引：4
作者：
Klaus, M [1 ]
机构：
[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2005年 / 69卷 / 3-4期
关键词：
Manakov system; coupled nonlinear Schrodinger equation;
D O I：
10.1016/j.matcom.2005.01.009
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We consider the Manakov system with L-1 potentials q(1) and q(2) and study conditions under which the set of eigen-values exhibits certain symmetry properties. In particular we obtain criteria which guarantee that the eigenvalues are located symmetrically with respect to the imaginary axis. We also obtain a best possible bound in terms of an integral involving the two potentials which ensures that no eigenvalues exist. (c) 2005 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：356 / 367
页数：12
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